SOLUTION: I have no idea how to do this problem: {{{x^(3/2)=27}}}

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Question 122088: I have no idea how to do this problem:
x%5E%283%2F2%29=27
Found 2 solutions by checkley71, Edwin McCravy:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
3x/2=27 cross multiply.
3x=2*27
3x=54
x=54/3
x=18 answer.

Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
I have no idea how to do this problem:
x%5E%283%2F2%29=27 

Raise both sides to the power which is the
reciprocal of 3%2F2%29, which is 2%2F3

+%28x%5E%283%2F2%29%29%5E%282%2F3%29+=+27%5E%282%2F3%29++

Multiply the exponents on the left, getting %283%2F2%29%282%2F3%29+=+1 

x%5E1=27%5E%282%2F3%29


Now use the fact that 

B%5E%28M%2FN%29+=+%28root%28N%2CB%29%29%5EM

to rewrite the right side:

x+=+%28root%283%2C27%29%29%5E2

The cube root of 27 is 3, so

x+=+%283%29%5E2

x+=+9